Calabi–Yau Three-folds of Type K (I): Classification
Sep 26, 201441 pages
Published in:
- Int.Math.Res.Not. 2017 (2017) 21, 6654-6693
- Published: Nov 1, 2017
e-Print:
- 1409.7601 [math.AG]
DOI:
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Abstract: (Oxford University Press)
Any Calabi–Yau three-fold || with infinite fundamental group admits an étale Galois covering either by an abelian three-fold or by the product of a K3 surface and an elliptic curve. We call || of type A in the former case and of type K in the latter case. In this article, we provide the full classification of Calabi–Yau three-folds of type K, based on Oguiso and Sakurai’s work [25]. Together with a refinement of their result on Calabi–Yau three-folds of type A, we finally complete the classification of Calabi–Yau three-folds with infinite fundamental group.Note:
- 29 pages, comments welcome
- Calabi-Yau
- abelian
- surface
- Galois
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